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Finding the Fourth Proportional to 478, 716.34 and 217.37

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Solution

The fourth proportional to 478, 716.34 and 217.37 is: 325.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    478 : 716.34 = 217.37 : x
  2. Step 2: Convert to fraction form
    478/716.34 = 217.37/x
  3. Step 3: Cross multiply
    478x = 716.34 × 217.37
  4. Step 4: Simplify right side
    478x = 155,706.16
  5. Step 5: Solve for x
    x = 155,706.16/478
  6. Step 6: Final answer
    x = 325.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.